3,908,398

2 × 13 × 150323

3,908,398 factors as 2 × 13 × 150323. Its 8 positive divisors give a proper-divisor sum of 2,405,210, so this integer is deficient. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2 × 13 × 150323

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,313,608

Proper Divisor Sum 2,405,210

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #3908393 ← → #3908423

Radix Representation

Decimal	3908398
Binary	1110111010001100101110 (22 bits)
Octal	0o16721456
Hexadecimal	0x3BA32E

Divisor Catalog (8)

1 2 13 26 150,323 300,646 1,954,199 3,908,398

Collatz Trajectory (185 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

3,908,398 1,954,199 5,862,598 2,931,299 8,793,898 4,396,949 13,190,848 6,595,424 3,297,712 1,648,856 824,428 412,214 206,107 618,322 309,161 927,484 463,742 231,871 695,614 347,807 1,043,422 521,711 1,565,134 782,567 2,347,702 1,173,851 3,521,554 1,760,777 5,282,332 2,641,166 1,320,583 3,961,750 1,980,875 5,942,626 2,971,313 8,913,940 4,456,970 2,228,485 6,685,456 3,342,728 1,671,364 835,682 417,841 1,253,524 626,762 313,381 940,144 470,072 235,036 117,518 58,759 176,278 88,139 264,418 132,209 396,628 198,314 99,157 297,472 148,736

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